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Finding the Fourth Proportional to 13,566.42, 20,344.14 and 5,241.78

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Solution

The fourth proportional to 13,566.42, 20,344.14 and 5,241.78 is: 7,860.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,566.42 : 20,344.14 = 5,241.78 : x
  2. Step 2: Convert to fraction form
    13,566.42/20,344.14 = 5,241.78/x
  3. Step 3: Cross multiply
    13,566.42x = 20,344.14 × 5,241.78
  4. Step 4: Simplify right side
    13,566.42x = 106,639,506.17
  5. Step 5: Solve for x
    x = 106,639,506.17/13,566.42
  6. Step 6: Final answer
    x = 7,860.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.